61462633464 has 96 divisors (see below), whose sum is σ = 172948579440. Its totient is φ = 20449324800.

The previous prime is 61462633451. The next prime is 61462633469. The reversal of 61462633464 is 46433626416.

61462633464 is a `hidden beast` number, since 6 + 1 + 4 + 6 + 2 + 633 + 4 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61462633469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1022484 + ... + 1080924.

Almost surely, 2^61462633464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61462633464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86474289720).

61462633464 is an abundant number, since it is smaller than the sum of its proper divisors (111485945976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61462633464 is a wasteful number, since it uses less digits than its factorization.

61462633464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59003 (or 58987 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 45.

The spelling of 61462633464 in words is "sixty-one billion, four hundred sixty-two million, six hundred thirty-three thousand, four hundred sixty-four".